Solve the inequality. Write the solution set in interval notation.
-$$| x + 5 | - 2 12$$
A) $( - \infty , - 5 ) \cup ( 19 , \infty )$
B) $( - \infty , - 19 ) \cup ( 9 , \infty )$
C) $( - 19,9 )$
D) $( - \infty , - 19 ) \cup ( 5 , \infty )$

Question

Solve the inequality. Write the solution set in interval notation.
-$$| x + 5 | - 2 > 12$$
A) $( - \infty , - 5 ) \cup ( 19 , \infty )$
B) $( - \infty , - 19 ) \cup ( 9 , \infty )$
C) $( - 19,9 )$
D) $( - \infty , - 19 ) \cup ( 5 , \infty )$

Quizplus · Accepted Answer

First, add 2 to both sides to get $| x + 5 | > 14$. Then, solve the inequality for both $x + 5 > 14$ and $x + 5 < -14$. Solving these gives $x > 9$ and $x < -19$, respectively. Thus, the solution in interval notation is $( - \infty , - 19 ) \cup ( 9 , \infty )$.

Solve the Inequality ∣x+5∣−2>12| x + 5 | - 2 > 12∣x+5∣−2>12

Solve the Inequality $| x + 5 | - 2 > 12$